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{'Nk2': 8700, 'analytic_conductor': 17.367462439628483, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [29, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2175, 1, [1451, 2002, 901], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 17965413472428, 'field_disc_factorization': [[2, 2], [3, 3], [10909, 1], [15248549, 1]], 'field_poly': [2, 14, -15, -62, 36, 23, -12, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [2, 14, -15, -62, 36, 23, -12, -2, 1]], [7, [-2817, 5898, -3428, -270, 667, -44, -45, 2, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227300991, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2175.2.a.bd', 'level': 2175, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 29], 'level_radical': 435, 'minimal_twist': '2175.2.a.bc', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+q^{3}+(2+\\beta _{2})q^{4}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2175.2.a', 'trace_display': [2, 8, 0, -2], 'trace_hash': 436677017511891098, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.081', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.284', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '150.545', 'prec': 24}, {'__RealLiteral__': 0, 'data': '139.654', 'prec': 24}, {'__RealLiteral__': 0, 'data': '5016.818', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [8, 2, 8, 12, 0, 2, -2, 3, 8, 0, 6, 12, -6, 9, 0, 32, 12, 2, 0, 0, -2, -3, 14, 3, 0, 18, 8, -14, 8, 0, 8, -2, 6, -13, 0, 12, -4, 26, -6, 0, 2, 9, -2, -15, 0, 24, 12, 32, 38, 0, 12, -49, 4, 2, 0, 58, 0, 2, 18, 0, 12, -4, -2, 21, 0, -3, -26, 81, 14, 0, 24, 3, 14, -22, 0, 0, -26, 18, 10, 0, 8, -48, 40, -14, 0, 8, 8, 10, 34, 0, 26, -18, 8, -43, 0, -2, -30, 29, 6, 0, -16, -13, -28, 40, 0, 36, 8, 12, 50, 0, -4, -83, 22, 26, 0, 12, -6, 8, -6, 0, 20, -54, 2, -54, 0, 9, 4, -30, -2, 0, -22, -15, -20, -51, 0, 30, -14, 24, 16, 0, 12, -28, 30, 32, 0, 20, 38, -40, 58, 0, -6, 22, 12, -115, 0, -49, -30, 48, 4, 0, 24, 2, -42, 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-
mf_newspaces • Show schema
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{'ALdims': [7, 16, 14, 8, 14, 5, 9, 15], 'Nk2': 8700, 'analytic_conductor': 17.367462439628483, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2175, 1, [1451, 2002, 901], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 289, 'dim': 88, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33556607, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 5, 5, 7, 7, 8, 8], 'label': '2175.2.a', 'level': 2175, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 29], 'level_radical': 435, 'mf_dim': 312, 'mf_new_dim': 88, 'num_forms': 30, 'plus_dim': 29, 'prim_orbit_index': 1, 'relative_dim': 88, 'sturm_bound': 600, 'trace_bound': 7, 'trace_display': [0, -2, 0, 0], 'traces': [88, 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mf_twists_cc • Show schema
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id: 48695323
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 130604389227300991, 'source_is_minimal': True, 'source_label': '2175.2.a.bd.1.5', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 130604389227300991, 'target_is_minimal': True, 'target_label': '2175.2.a.bd.1.5', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.4', 'twist_class_level': 2175, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48695324
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 130604389227300991, 'source_is_minimal': True, 'source_label': '2175.2.a.bd.1.5', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 225179981402085757, 'target_is_minimal': False, 'target_label': '6525.2.a.by.1.4', 'target_level': 6525, 'twist_class_label': '2175.2.a.bc.1.4', 'twist_class_level': 2175, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48695325
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 130604389227300991, 'source_is_minimal': True, 'source_label': '2175.2.a.bd.1.5', 'source_level': 2175, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 11, 'target_hecke_orbit_code': 67554131883067519, 'target_is_minimal': False, 'target_label': '2175.2.c.p.349.11', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.4', 'twist_class_level': 2175, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48695326
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 130604389227300991, 'source_is_minimal': True, 'source_label': '2175.2.a.bd.1.5', 'source_level': 2175, 'target_conrey_index': 349, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 67554131883067519, 'target_is_minimal': False, 'target_label': '2175.2.c.p.349.6', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.4', 'twist_class_level': 2175, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48695327
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 130604389227300991, 'source_is_minimal': True, 'source_label': '2175.2.a.bd.1.5', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 126100789599930495, 'target_is_minimal': True, 'target_label': '2175.2.a.bc.1.4', 'target_level': 2175, 'twist_class_label': '2175.2.a.bc.1.4', 'twist_class_level': 2175, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48695328
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 130604389227300991, 'source_is_minimal': True, 'source_label': '2175.2.a.bd.1.5', 'source_level': 2175, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 229683581029456253, 'target_is_minimal': False, 'target_label': '6525.2.a.bz.1.5', 'target_level': 6525, 'twist_class_label': '2175.2.a.bc.1.4', 'twist_class_level': 2175, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2471925
{'charpoly_factorization': [[[2, 14, -15, -62, 36, 23, -12, -2, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 2}
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id: 2471926
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 130604389227300991, 'p': 3}
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id: 2471927
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 130604389227300991, 'p': 5}
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id: 2471928
{'charpoly_factorization': [[[-2817, 5898, -3428, -270, 667, -44, -45, 2, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 7}
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id: 2471929
{'charpoly_factorization': [[[-1140, 6052, -21, -2382, 265, 238, -36, -6, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 11}
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id: 2471930
{'charpoly_factorization': [[[-10503, -31260, 1746, 7830, 863, -410, -61, 6, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 13}
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id: 2471931
{'charpoly_factorization': [[[18954, -36450, 22599, -2866, -1919, 596, -10, -12, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 17}
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id: 2471932
{'charpoly_factorization': [[[205760, -18016, -43040, 2168, 3212, -64, -99, 0, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 19}
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id: 2471933
{'charpoly_factorization': [[[-14976, 107136, 17920, -15344, -992, 800, -14, -14, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 23}
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id: 2471934
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 130604389227300991, 'p': 29}
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id: 2471935
{'charpoly_factorization': [[[1225792, 180064, -297584, -40448, 11644, 1096, -179, -8, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 31}
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id: 2471936
{'charpoly_factorization': [[[20929536, -2764800, -1354560, 110176, 32416, -1208, -308, 4, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 37}
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id: 2471937
{'charpoly_factorization': [[[-2160, -13248, -14871, 990, 3471, 292, -137, -2, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 41}
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id: 2471938
{'charpoly_factorization': [[[486720, -391872, -150032, 32712, 9520, -674, -195, 2, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 43}
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id: 2471939
{'charpoly_factorization': [[[2390796, 993600, -307269, -100902, 11847, 2088, -188, -12, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 47}
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id: 2471940
{'charpoly_factorization': [[[10368, -256, -18208, -336, 7696, 780, -210, -4, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 53}
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id: 2471941
{'charpoly_factorization': [[[10368, 69120, 83232, -105504, 5736, 2928, -146, -18, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 59}
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id: 2471942
{'charpoly_factorization': [[[386112, 305216, -301520, -74848, 12908, 1988, -211, -12, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 61}
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id: 2471943
{'charpoly_factorization': [[[-48194129, -10574858, 1876916, 461958, -15609, -6144, -85, 26, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 67}
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id: 2471944
{'charpoly_factorization': [[[-16256, -34880, 84384, -5984, -6832, 884, 118, -24, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 71}
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id: 2471945
{'charpoly_factorization': [[[19650816, 7484544, -1030848, -321088, 25952, 3920, -284, -14, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 73}
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id: 2471946
{'charpoly_factorization': [[[2032128, -241920, -570816, -47040, 19584, 1488, -232, -10, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 79}
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id: 2471947
{'charpoly_factorization': [[[-144320256, -8597760, 8345408, -321120, -105376, 8184, 252, -40, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 83}
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id: 2471948
{'charpoly_factorization': [[[-12296640, -38352, 2424369, -327874, -47277, 6952, 82, -34, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 89}
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id: 2471949
{'charpoly_factorization': [[[-9904960, 1554112, 1165312, -16112, -45280, -4286, 117, 30, 1], 1]], 'hecke_orbit_code': 130604389227300991, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '2175.2.a.bd', 'level': 2175, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 68171317
{'hecke_orbit_code': 130604389227300991, 'n': 1, 'trace_an': 8}
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id: 68171318
{'hecke_orbit_code': 130604389227300991, 'n': 2, 'trace_an': 2}
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id: 68171319
{'hecke_orbit_code': 130604389227300991, 'n': 3, 'trace_an': 8}
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id: 68171320
{'hecke_orbit_code': 130604389227300991, 'n': 4, 'trace_an': 12}
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id: 68171321
{'hecke_orbit_code': 130604389227300991, 'n': 5, 'trace_an': 0}
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id: 68171322
{'hecke_orbit_code': 130604389227300991, 'n': 6, 'trace_an': 2}
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id: 68171323
{'hecke_orbit_code': 130604389227300991, 'n': 7, 'trace_an': -2}
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